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12823751880 = 23325279112763
BaseRepresentation
bin10111111000101101…
…01110110011001000
31020002201011002111100
423330112232303020
5202230340030010
65520253301400
7632533043502
oct137426566310
936081132440
1012823751880
115490745655
12259a794860
131294a12784
148991aad72
15500c3a2c0
hex2fc5aecc8

12823751880 has 96 divisors (see below), whose sum is σ = 41695392960. Its totient is φ = 3418174080.

The previous prime is 12823751861. The next prime is 12823751881. The reversal of 12823751880 is 8815732821.

12823751880 is a `hidden beast` number, since 1 + 28 + 2 + 37 + 518 + 80 = 666.

It is a super-2 number, since 2×128237518802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12823751881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998379 + ... + 1011141.

It is an arithmetic number, because the mean of its divisors is an integer number (434327010).

Almost surely, 212823751880 is an apocalyptic number.

12823751880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12823751880 is an abundant number, since it is smaller than the sum of its proper divisors (28871641080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12823751880 is a wasteful number, since it uses less digits than its factorization.

12823751880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15571 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12823751880 in words is "twelve billion, eight hundred twenty-three million, seven hundred fifty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2791 5582 8373 11164 12763 13955 16746 22328 25119 25526 27910 33492 38289 41865 50238 51052 55820 63815 66984 76578 83730 100476 102104 111640 114867 125595 127630 153156 167460 191445 200952 229734 251190 255260 306312 334920 382890 459468 502380 510520 574335 765780 918936 1004760 1148670 1531560 2297340 4594680 35621533 71243066 106864599 142486132 178107665 213729198 284972264 320593797 356215330 427458396 534322995 641187594 712430660 854916792 1068645990 1282375188 1424861320 1602968985 2137291980 2564750376 3205937970 4274583960 6411875940 12823751880